Search for blocks/addresses/...
Proofgold Proof
pf
Apply df_mpq__df_ltpq__df_enq__df_nq__df_erq__df_plq__df_mq__df_1nq__df_rq__df_ltnq__df_np__df_1p__df_plp__df_mp__df_ltp__df_enr__df_nr__df_plr with
wceq
cplr
(
coprab
(
λ x0 x1 x2 .
wa
(
wa
(
wcel
(
cv
x0
)
cnr
)
(
wcel
(
cv
x1
)
cnr
)
)
(
wex
(
λ x3 .
wex
(
λ x4 .
wex
(
λ x5 .
wex
(
λ x6 .
wa
(
wa
(
wceq
(
cv
x0
)
(
cec
(
cop
(
cv
x3
)
(
cv
x4
)
)
cer
)
)
(
wceq
(
cv
x1
)
(
cec
(
cop
(
cv
x5
)
(
cv
x6
)
)
cer
)
)
)
(
wceq
(
cv
x2
)
(
cec
(
cop
(
co
(
cv
x3
)
(
cv
x5
)
cpp
)
(
co
(
cv
x4
)
(
cv
x6
)
cpp
)
)
cer
)
)
)
)
)
)
)
)
)
.
Assume H0:
wceq
cmpq
(
cmpt2
(
λ x0 x1 .
cxp
cnpi
cnpi
)
(
λ x0 x1 .
cxp
cnpi
cnpi
)
(
λ x0 x1 .
cop
(
co
(
cfv
(
cv
x0
)
c1st
)
(
cfv
(
cv
x1
)
c1st
)
cmi
)
(
co
(
cfv
(
cv
x0
)
c2nd
)
(
cfv
(
cv
x1
)
c2nd
)
cmi
)
)
)
.
Assume H1:
wceq
cltpq
(
copab
(
λ x0 x1 .
wa
(
wa
(
wcel
(
cv
x0
)
(
cxp
cnpi
cnpi
)
)
(
wcel
(
cv
x1
)
(
cxp
cnpi
cnpi
)
)
)
(
wbr
(
co
(
cfv
(
cv
x0
)
c1st
)
(
cfv
(
cv
x1
)
c2nd
)
cmi
)
(
co
(
cfv
(
cv
x1
)
c1st
)
(
cfv
(
cv
x0
)
c2nd
)
cmi
)
clti
)
)
)
.
Assume H2:
wceq
ceq
(
copab
(
λ x0 x1 .
wa
(
wa
(
wcel
(
cv
x0
)
(
cxp
cnpi
cnpi
)
)
(
wcel
(
cv
x1
)
(
cxp
cnpi
cnpi
)
)
)
(
wex
(
λ x2 .
wex
(
λ x3 .
wex
(
λ x4 .
wex
(
λ x5 .
wa
(
wa
(
wceq
(
cv
x0
)
(
cop
(
cv
x2
)
(
cv
x3
)
)
)
(
wceq
(
cv
x1
)
(
cop
(
cv
x4
)
(
cv
x5
)
)
)
)
(
wceq
(
co
(
cv
x2
)
(
cv
x5
)
cmi
)
(
co
(
cv
x3
)
(
cv
x4
)
cmi
)
)
)
)
)
)
)
)
)
.
Assume H3:
wceq
cnq
(
crab
(
λ x0 .
wral
(
λ x1 .
wbr
(
cv
x0
)
(
cv
x1
)
ceq
⟶
wn
(
wbr
(
cfv
(
cv
x1
)
c2nd
)
(
cfv
(
cv
x0
)
c2nd
)
clti
)
)
(
λ x1 .
cxp
cnpi
cnpi
)
)
(
λ x0 .
cxp
cnpi
cnpi
)
)
.
Assume H4:
wceq
cerq
(
cin
ceq
(
cxp
(
cxp
cnpi
cnpi
)
cnq
)
)
.
Assume H5:
wceq
cplq
(
cres
(
ccom
cerq
cplpq
)
(
cxp
cnq
cnq
)
)
.
Assume H6:
wceq
cmq
(
cres
(
ccom
cerq
cmpq
)
...
)
.
...
■